According to Josephus, a contemporary of the time, this place that is called the temple mount is the location of the old Roman citadel. The original temple was located in the city of David near the Gihon Spring and ruins of it have now been revealed.
https://www.youtube.com/watch?v=_hiOeI0s9ek
and this:
Ezekiel 23
1. And the word of the Lord came to me, saying:
2. Son of man, there were two women, the daughters of one mother:
3. And they committed harlotry in Egypt; they committed harlotry in their youth; there were their breasts pressed, and there was her virgin bosom handled:
4. And their names were Aholah the elder, and Aholibah her sister; and they were mine, and they bore sons and daughters; Thus were their names; Samaria is Aholah, and Jerusalem Aholibah:
Exodus 3
11. And Moses said to God, Who am I, that I should go to Pharaoh, and that I should bring forth the people of Israel out of Egypt:
12. And he said, Certainly I will be with you; and this shall be a sign to you, that I have sent you; When you have brought forth the people out of Egypt, you shall serve God upon this mountain:
13. And Moses said to God, Behold, when I come to the people of Israel, and shall say to them, The God of your fathers has sent me to you; and they shall say to me, What is his name, what shall I say to them:
14. And God said to Moses, I AM THAT I AM; and he said, Thus shall you say to the people of Israel, I AM has sent me to you:
15. And God said moreover to Moses, Thus shall you say to the people of Israel, The Lord God of your fathers, the God of Abraham, the God of Isaac, and the God of Jacob, has sent me to you; this is my name forever, and this is my memorial to all generations:
May I suggest the city of Jerusalem in the OT is a type of the new heavenly Jerusalem, which is where those in Christ will live forever.
This new Jerusalem is where the temple of God dwells, i.e. In the believer.
God is no longer interested in a dirt city in the Middle East. When Jesus came, the types and shadows were done away with.
Any temple built in the earthly city in the country of Israel in no way will be built by God or sanctioned by God.
The veil of the temple was torn from top to bottom, signifying the end of the OT type of Jerusalem.
I used to actually believe things might change. But unfortunately, as it is, you'll remain forever suspended between Judaism and authentic historical chrstianity, hated equally by both--and taking this hatred as proof that you are right.